On the Eigenvalues of the Biharmonic Steklov Problem on a Thin Set
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917305928122368 |
|---|---|
| author | Derbissaly, Bauyrzhan kakharman, Nurbek |
| author_facet | Derbissaly, Bauyrzhan kakharman, Nurbek |
| contents | This paper investigates the asymptotic behavior of the eigenvalues of the biharmonic operator on a thin set with Steklov boundary condition. The thin set is taken to be a tubular neighborhood of a planar smooth domain. We show that, as the thickness of this neighborhood tends to zero, all eigenvalues of the biharmonic operator with Steklov boundary condition converge to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01828 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Eigenvalues of the Biharmonic Steklov Problem on a Thin Set Derbissaly, Bauyrzhan kakharman, Nurbek Analysis of PDEs Spectral Theory This paper investigates the asymptotic behavior of the eigenvalues of the biharmonic operator on a thin set with Steklov boundary condition. The thin set is taken to be a tubular neighborhood of a planar smooth domain. We show that, as the thickness of this neighborhood tends to zero, all eigenvalues of the biharmonic operator with Steklov boundary condition converge to zero. |
| title | On the Eigenvalues of the Biharmonic Steklov Problem on a Thin Set |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2603.01828 |